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Estimates of hybrid exponential sums on quasiprojective varieties over finite fields
Author(s) -
Mozzochi C. J.
Publication year - 1996
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300011591
Subject(s) - mathematics , exponential function , finite field , exponential sum , function (biology) , degree (music) , discrete mathematics , mathematical analysis , physics , evolutionary biology , acoustics , biology
Recently Bombieri and Sperber have jointly created a new construction for estimating exponential sums on quasiprojective varieties over finite fields. In this paper we apply their construction to estimate hybrid exponential sums on quasiprojective varieties over finite fields. In doing this we utilize a result of Aldolphson and Sperber concerning the degree of the L ‐function associated with a certain exponential sum.